Priority Record: Discrete Topological Decoherence and Norm Conservation in d₀-Graph Quantum Systems

Key Points

• The research aims to establish a discrete framework for quantum decoherence using topological graph models.
• Developed a discrete framework of quantum decoherence based on d0 topological graph model.
• Mapped topological graph updates via algorithmic designs, demonstrating their relation to quantum logic gates.
• Contrasted the new model with classical continuous-time decoherence formulations.
• Reported fundamental departures from classical models of decoherence.
• Established that decoherence can be interpreted as a countable geometric process rather than continuous time.
• Demonstrated algorithmic mappings enhance understanding of environmental entanglement.